| Base | Representation |
|---|---|
| bin | 11111011001011010100100… |
| … | …101010110111010000000000 |
| 3 | 200002220220000001200110111020 |
| 4 | 133121122210222313100000 |
| 5 | 121044400022041004201 |
| 6 | 1205403452002145440 |
| 7 | 41041244563345260 |
| oct | 3731324452672000 |
| 9 | 602826001613436 |
| 10 | 138085961266176 |
| 11 | 3aaa8a22272000 |
| 12 | 135a1b99052280 |
| 13 | 5c085b1337791 |
| 14 | 26155791c17a0 |
| 15 | 10e6ded013a36 |
| hex | 7d96a4ab7400 |
138085961266176 has 1408 divisors, whose sum is σ = 502780951265280. Its totient is φ = 32878669824000.
The previous prime is 138085961266159. The next prime is 138085961266193. The reversal of 138085961266176 is 671662169580831.
It is an interprime number because it is at equal distance from previous prime (138085961266159) and next prime (138085961266193).
It is a tau number, because it is divible by the number of its divisors (1408).
It is a super-2 number, since 2×1380859612661762 (a number of 29 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 138085961266176.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16858250241 + ... + 16858258431.
Almost surely, 2138085961266176 is an apocalyptic number.
138085961266176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 138085961266176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251390475632640).
138085961266176 is an abundant number, since it is smaller than the sum of its proper divisors (364694989999104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138085961266176 is a wasteful number, since it uses less digits than its factorization.
138085961266176 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8304 (or 8264 counting only the distinct ones).
The product of its (nonzero) digits is 156764160, while the sum is 69.
The spelling of 138085961266176 in words is "one hundred thirty-eight trillion, eighty-five billion, nine hundred sixty-one million, two hundred sixty-six thousand, one hundred seventy-six".
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